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Finding the Fourth Proportional to 971.60, 1,337.72 and 823.77

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Solution

The fourth proportional to 971.60, 1,337.72 and 823.77 is: 1,134.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.60 : 1,337.72 = 823.77 : x
  2. Step 2: Convert to fraction form
    971.60/1,337.72 = 823.77/x
  3. Step 3: Cross multiply
    971.60x = 1,337.72 × 823.77
  4. Step 4: Simplify right side
    971.60x = 1,101,969.49
  5. Step 5: Solve for x
    x = 1,101,969.49/971.60
  6. Step 6: Final answer
    x = 1,134.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.